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Finding the Third Proportional to 109,798 and 239,676

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Solution

The third proportional to 109,798 and 239,676 is: 523,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,798 : 239,676 = 239,676 : x
  2. Step 2: Convert to fraction form
    109,798/239,676 = 239,676/x
  3. Step 3: Cross multiply
    109,798x = 239,676 × 239,676
  4. Step 4: Simplify right side
    109,798x = 57,444,584,976
  5. Step 5: Solve for x
    x = 57,444,584,976/109,798
  6. Step 6: Final answer
    x = 523,184.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.